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Refractive index of water with respect to air is $4 / 3$ and glass is $3 / 2$ . Refractive index of glass with respect to water will be

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\frac{8}{9}

2

\frac{1}{2}

\frac{9}{8}

answer is D.

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Detailed Solution

Refractive index of water with respect to air is

4 / 3

and glass is

3 / 2

. Refractive index of glass with respect to water will be

\frac{9}{8}

.
There are three media: air, water and glass. We can say that,

n_{wa} \times n_{gw} \times n_{ag} = 1

Where,

n_{wa}

is the refractive index of water w.r.t air,

n_{gw}

is the refractive index of glass w.r.t water

n_{ag}

is the refractive index of air w.r.t glass.

{\Rightarrow n}_{gw} = \frac{1}{n_{wa} \times n_{ag}}

\Rightarrow n_{gw} = \frac{n_{ga}}{n_{wa}}

\Rightarrow n_{gw} = \frac{3 / 2}{4 / 3}

= \frac{9}{8}

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